Mister Exam

Derivative of x^-1

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
1
-
x
$$\frac{1}{x}$$
1/x
Detail solution
  1. Apply the power rule: goes to


The answer is:

The graph
The first derivative [src]
-1 
---
  2
 x 
$$- \frac{1}{x^{2}}$$
The second derivative [src]
2 
--
 3
x 
$$\frac{2}{x^{3}}$$
The third derivative [src]
-6 
---
  4
 x 
$$- \frac{6}{x^{4}}$$
The graph
Derivative of x^-1